Solve 459/36

$$\frac { 459 } { 36 }$$

Evaluate

$$\frac{51}{4}=12.75$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 459

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)459}\\\end{array}$$

Since 4 is less than 36, use the next digit 5 from dividend 459 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)459}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 459

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)459}\\\end{array}$$

Find closest multiple of 36 to 45. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 45 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)459}\\\phantom{36)}\underline{\phantom{}36\phantom{9}}\\\phantom{36)9}9\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 459

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)459}\\\phantom{36)}\underline{\phantom{}36\phantom{9}}\\\phantom{36)9}99\\\end{array}$$

Find closest multiple of 36 to 99. We see that 2 \times 36 = 72 is the nearest. Now subtract 72 from 99 to get reminder 27. Add 2 to quotient.

$$\begin{array}{l}\phantom{36)}012\phantom{6}\\36\overline{)459}\\\phantom{36)}\underline{\phantom{}36\phantom{9}}\\\phantom{36)9}99\\\phantom{36)}\underline{\phantom{9}72\phantom{}}\\\phantom{36)9}27\\\end{array}$$

Since 27 is less than 36, stop the division. The reminder is 27. The topmost line 012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }27$$

Factor

$$\frac{3 \cdot 17}{2 ^ {2}} = 12\frac{3}{4} = 12.75$$